2660
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 4060
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 864
- Möbius Function
- 0
- Radical
- 1330
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Generalized sum of divisors function.at n=37A002132
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=35A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=35A004944
- Representation degeneracies for Ramond strings.at n=14A005304
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=38A006918
- a(n) = 2*binomial(n,3).at n=21A007290
- Coordination sequence T1 for Zeolite Code AEI.at n=39A008001
- Coordination sequence T2 for Zeolite Code AEI.at n=39A008002
- Coordination sequence T3 for Zeolite Code AEL.at n=34A008006
- If a, b in sequence, so is ab+4.at n=41A009303
- Coordination sequence T2 for Zeolite Code AHT.at n=35A009867
- Coordination sequence T4 for Zeolite Code RUT.at n=34A009900
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=45A011914
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.at n=31A013591
- Multiplicity of K_3 in K_n.at n=42A014557
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=47A017865
- a(n) is least k such that k and 5k are anagrams in base n (written in base 10).at n=33A023097
- Theta series of A*_20 lattice.at n=27A023932
- Theta series of 6-dimensional lattice of det 8.at n=24A029543
- Numerator of n * Product_{d|n} (1 + 1/d).at n=17A029933